Time and Work Practice Test 4 with solutions

Question : 2 of 40

Marks: +1, -0

Working alone, Sonal and Sonam can do a work in 40 and 60 days respectively. Both of them started working together but Sonal quit just 4 days before the completion of the work, Sonam completed the remaining work by working the alone. By how many days did the work extend beyond the scheduled time?

5 days
10 days
8 days
6 days
None of these

Validate

Solution:

Work done by Sonal in one day =

1/{40}

Work done by Sonam in one day =

1/{60}

Work done by both in one day
=

1/{40}+1/{60}

{3+2}/{120}

1/{24}

So, both together can finish the work in 24 days.
⇒ Sonal and Sonam both work for 20 days together before Sonal quit.
So, work done by both in 20 days = 20 ×

1/{24}

5/6

Remaining work = 1 -

5/6

1/6

Number of days taken by Sonam to do

1/{60}

of work = 1 day
So, number of days taken by Sonam to do

1/6

of work = 10 days
So, work has been extended for extra 10 - 4 = 6 days.

Go to Question:

Prev Question

Next Question